Question 800176
THE FIFTH GRADER SOLUTION:
The total storage volume available is
{{{(9m)(6m)(4m)=216m^3}}}
If that space is totally used to store {{{1000}}}} boxes each box would have a volume of {{{216m^3/1000=0.216m^3}}}
If a cube-shaped box has a volume of {{{0.216m^3}}}, the length of the side of such a box is
{{{sqrt(0.216m^2)=highlight(0.6m)}}}
 
FANCY_SOUNDING:
If you want to sound fancier and look like it's really complicated algebra,
{{{x}}}= length of the side of one cube-shaped box, in meters.
{{{x^3}}}= volume of one cube-shaped box, in cubic meters.
{{{100x^3}}}= volume (in cubic meters) of 1000 cube shaped boxes with side length {{{x}}} meters.
Our equation is
{{{1000x^3=9*6*4}}}
{{{1000x^3=216}}}
{{{x^3=216/1000}}}
{{{x=sqrt(216/1000)}}}
{{{x=sqrt(216)/sqrt(1000)}}}
{{{x=6/10}}} or {{{x=0.6}}}